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Finding the Fourth Proportional to 309.19, 426.66 and 178.21

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Solution

The fourth proportional to 309.19, 426.66 and 178.21 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.19 : 426.66 = 178.21 : x
  2. Step 2: Convert to fraction form
    309.19/426.66 = 178.21/x
  3. Step 3: Cross multiply
    309.19x = 426.66 × 178.21
  4. Step 4: Simplify right side
    309.19x = 76,035.08
  5. Step 5: Solve for x
    x = 76,035.08/309.19
  6. Step 6: Final answer
    x = 245.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.